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Finding the Third Proportional to 134,792 and 295,216

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Solution

The third proportional to 134,792 and 295,216 is: 646,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,792 : 295,216 = 295,216 : x
  2. Step 2: Convert to fraction form
    134,792/295,216 = 295,216/x
  3. Step 3: Cross multiply
    134,792x = 295,216 × 295,216
  4. Step 4: Simplify right side
    134,792x = 87,152,486,656
  5. Step 5: Solve for x
    x = 87,152,486,656/134,792
  6. Step 6: Final answer
    x = 646,570.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.